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It depends on what is given.

In general, one half of the bisected angle is proven to congruent to the other half. By the Definition of an Angle Bisector, the bisected angle can be proven bisected.

---- To show that two angles are congruent:

One way to prove the two angles congruent is to show that their measures are equal. This can be done if there are numbers on the diagram. Use the Protractor Postulate or the Angle Addition Postulate to find the smaller angles' measures, if they are not directly marked. Then use the Definition of Congruent Angles to prove them congruent.

Given that the smaller angles correspond on a congruent or similar pair of figures in that plane and form an angle bisector, the Corresponding Parts of Congruent Figures Postulate or Corresponding Parts of Simlar Figures Postulate may be used.

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Q: How can I prove an angle bisector?
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Related questions

What do you need to do to prove a line is an angle bisector of an angle?

Draw a perpendicular to that line and extend the arms of the angle to meed the perpendicular drawn earlier. Check if the line is bisecting the perpendicular, if yes, then the line is a bisector of the angle. :)


If a point is equidistant from the two sides of an angle then it is?

on the perpendicular bisector


What is the difference between and angle bisector and a perpendicular bisector?

An angle bisector bisects an angle. A perpendicular bisector bisects a side.


Does rhombus have angle bisector?

Any shape which has an angle can have an angle bisector.


What is the angle bisector concurrency theorem?

the definition of an angle bisector is a line that divides an angle into two equal halves. So you need only invoke the definition to prove something is an angle bisector if you already know that the two angles are congruent.


What divides an angle into 2 congruent angles?

An Angle Bisector


What describes an angle bisector?

An angle bisector is a line that divides an angle in half.


What is bisector angle?

the bisector of angle is the half of the measurment of the angle given. FOR EXAMPLE:- 45 degrees is a bisector angle of 90 degrees e.t.c.


What divides an angle into two congruent angles?

angle bisectorangles bisector is the line that divides an angle into two congruent angles.


What is the converse of the angle bisector theorem?

If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle-apex


What is an angle bisector theorem?

a point on the bisector of an angle, it is equidistant from the 2 sides of the angle


Can the angle bisector of a triangle also be the perpendicular bisector?

Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.